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Silicon, which occurs in nature as SiO2, is the material

Introductory Chemistry | 5th Edition | ISBN: 9780321910295 | Authors: Nivaldo J Tro ISBN: 9780321910295 34

Solution for problem 94P Chapter 8

Introductory Chemistry | 5th Edition

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Introductory Chemistry | 5th Edition | ISBN: 9780321910295 | Authors: Nivaldo J Tro

Introductory Chemistry | 5th Edition

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Problem 94P

PROBLEM 94P

Silicon, which occurs in nature as SiO2, is the material from which most computer chips are made. If SiO2 is heated until it melts into a liquid, it reacts with solid carbon to form liquid silicon and carbon monoxide gas. In an industrial preparation of silicon, 52.8 kg of SiO2 reacts with 25.8 kg of carbon to produce 22.4 kg of silicon. Determine the limiting reactant, theoretical yield, and percent yield for the reaction.

Step-by-Step Solution:
Step 1 of 3

Solution 94P

Balanced equation: SiO2 + 2 C -> Si + 2 CO

1. Find the moles of each:

Grams -> moles

Given kg x 1000 g/1 kg x 1 mol/molar mass

Molar mass SiO2: 60.08 g/mol

Molar mass C: 12.01 g/mol

57.8 kg SiO2 x 1000 g SiO2/1 kg SiO2 x 1 mol SiO2/60.08 g SiO2 = 962.05 mol SiO2

25.8 kg C x 1000 g C/1 kg C x 1 mol C/12.01 g C = 2148.21 mol C

2. Then using the balanced equation, set up a mole ratio: Coefficients/Number of moles.

1 SiO2/962.05 mol SiO2 = 2 C/x

We pretend we don't know the moles of C.

By crossing multiplying, we find x = 1924.1 mol C, which is less than 2148.21 mol C. This...

Step 2 of 3

Chapter 8, Problem 94P is Solved
Step 3 of 3

Textbook: Introductory Chemistry
Edition: 5
Author: Nivaldo J Tro
ISBN: 9780321910295

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Silicon, which occurs in nature as SiO2, is the material

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